{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 11 ``matplotlib`` 基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "x = np.linspace(0, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x111aa0be0>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GwPjftNBz+yqYGB/FDRPHWR2KxyyelkBiTDjr9lUMvbMKWs/uO43dJjw4f/zQO/sJx+gI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1083962b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MimBXbiXdw7ieRzcMA1DV1M6x4lpWT41xXBiph9QNUH8Nyk479rwuwGAQrEqP\n5mBhtT7AZyDyNoPvaBg/T20lNrHtfDkz40P6n2luDz2GUqNew6r0aOpaOof1AB/dMAzAzpwKzBLH\nutI9JK1UKmE1enOsnBJNl0myTw8n9U9XOxTshKTVyphLjVFQ0URRVTNrnPHZD5kA0RlK0Z8GmZ8Y\ngZ+X8dOF+eGIbhgGYHt2OZMiApg82AhDW/AdDRMXQu5mTYaTpo0JJibIh+3ZI6tP/ZC5tA86m5T0\nZA2y9XwZBgHL05xgGEBZhC47DTeuOOf8TuTTcFJOxbANJ+mG4RZUN3Vw4nIdK9OinHeR1A3QUAKl\np5x3DSchhGB5WjSHiqppatfDSZ8jd5MljHSX2kqsRkrJtuxy5kwIJTzQivby1pBiMZga9ZhXpUdT\n29LJiWEaTtINwy3YnaeEkVY4euGtN4krwOil2ZtjZXoUnd1mPrpQpbYU90LjYaSiqmaKq1uc+9kf\nPQ5ipiujTjXI/MQIfD2HbzhJNwy3YEd2BRPC/EmKckIYqQdfS367RsNJ08eOJnKUN9vOD8+bw2Y0\nHkbanl2OELAs1Yb28taQslYJJ2mw27Cvl5GFyRHsyq0YlsVuumHoh7qWTo4W17IiPcrx2Uh9SVkL\njdehVJvZSSvSojlQWE2zXuz2GbmbNRtGAiXpYua4ECICHZyN1JeeFuT5Hzr3Ok5iVXo0Nc2dw7LY\nTTcM/bAnT3kKWOGshbfeTF6uFLvla9OlXpkeTWe3mf16OEmhuwMKdypFjBoMIxVXK0Vty525ttZD\n6ESITIO8D5x/LSewwBJO2j4Mw0m6YeiH7dkVjA3xc2xR263wC4H4OxXDoMFw0oxxowkP9B6WN4dN\nFB+EjkZIdtsJtQOyI0fJMnOJYQBIWacUuzVpL7vN18vIgqRwduVWYh5m4STdMPShvrWTTy7WuCaM\n1EPKWqgrhkq36zg+KEaDYEVaFPsLqmjt1MNJ5G8B71EwQZthpB055WSMCXZcb6TBSF4LSM2Gk5al\nRlHd1MGZkhtqS3EoumHow978KrpdFUbqIWk1IDQbTlqeGkV7l5lDhSO8FbepW+mNNHmZMudYY5TU\ntZJT2sjKdBd5CwARSRA2WbPhpIVJEXgZDezM0Z7HMxC6YejDzpwKooN8mBoX5LqLBkTAuNs0m7o3\na3wIwX6e7Mod4VXQ145Aa63SNE+D7MhRwoEufSgCJZx09RNNTnYL9PHk9kmh7MipGFaT3RxiGIQQ\ny4UQBULKno6VAAAgAElEQVSIi0KIZ/t5/yEhxHkhRLYQ4ogQYmqv965Ytp8VQmQ5Qo+ttHR0c7io\nmmWpLgwj9ZC8FqrzoabItdd1AB5GA0uSI9mbrww0GrHkfwgevspsZw2yI6eC1JhRjAnxc+2Fk9eC\nNMOFra69roNYnhbF9Rtt5JY1qi3FYdhtGIQQRuCPwAogBdgohEjps9tl4C4pZTrwM+DFPu8vkFJm\nSCkz7dVjDwcLq+noNrMs1YWudA/Jq5XfGg0nLUuNoqm9m2PFwy91b0iYzZC/FSYt0uSktsrGds5c\nq2e5Gp/9qHQYHa/8+2mQJSlRGATsyh0+4SRHeAyzgItSymIpZSfwJnBTSoaU8oiUsmd15hgQ54Dr\nOpxduRWM9vNkZvxo1188KA5iZ2g2nHRHQhh+XkZ2DqObwypKT0FT2We5+Rpjd54SBlzmqmyk3gih\nrLNdPgjt2nvqDvH3Yvb40GG1zuAIwxAL9C5dvG7Zdiu+Auzo9bcE9gohTgkhHr/VQUKIx4UQWUKI\nrOpqxy9ydnab+Si/iiUpkXgYVVp6SV6jTHXTYCWoj6eRBYkR7M6tHJaVoIOSv0WpR5m8TG0lNrE7\nt4LxYf4kRASoIyBpNZg6oWi3Ote3k+VpURRVNXOxqlltKQ7Bpd+AQogFKIbh+7023yGlzEAJRT0p\nhOi3eb2U8kUpZaaUMjM8PNzh2o5cqqGpo1udMFIPSZZFy4Lt6mmwg2VpUdQ0d3Dm2vBK3RsUaUm3\nHH+X0uZEYzS0dnH0Ui1LUyNdv7bWw5hZ4B+u2XWGpZb2IcMlnOQIw1AKjOn1d5xl200IIaYALwPr\npJSfBqKllKWW31XAJpTQlMvZlVuJv5eR2yeFqXF5hbBJEJao2ZzuBYnhwzJ1b1Cq8uDG5c/WiTTG\nRwWVdJulug9FBiMkroSiPUoTQo0RHeRLxpjgYfPZd4RhOAkkCCHGCyG8gAeAmwLlQoixwPvAI1LK\nwl7b/YUQgT2vgaVAjgM0WYXJLNmTV8H8pAh8PI2uvvzNJK+Gq0egVXvtfHtS93blDa/UvUG5sA0Q\nkLhKbSU2sSunkohAbzLiVPZ2ktcoo1AvH1RXh40sS40iu7SBsvo2taXYjd2GQUrZDTwF7ALygbel\nlLlCiCeEEE9YdvsxEAr8qU9aaiTwsRDiHHAC2Cal3GmvJms5fe0GNc2d6mRk9CVpNUiT0m9HgyxP\ni6Kkro28cu0tItrMha1KKCTQyd1InUBbp4kDhVUsTY3EYFApjNTD+HngFahZj7knnLR3GEw19HDE\nSaSU24Htfba90Ov1V4Gv9nNcMTC173ZXszu3Ai+jgfmJjl+7sJqYaTAqVkndy3hQbTVWsyg5EiGy\n2ZNXSWqMC4sE1aK+BMrPwZKfqq3EJg4VVdPepVKKdl88vGHyUijYAWaTEl7SEBPDA5gY7s/u3Eq+\nODdebTl2MeIrn6WU7M6r5LZJoQT6uEE3TCGUzpyXPoLOVrXVWE1YgDeZ40aze6RUQV/YpvxO0ub6\nwq7cCkb5eDBnQqjaUhSSVkNrjdJYT4MsTY3iWHEtDa3anmo44g1DYWUzV2tbWZriBk9MPSStgu42\nZeCLBlmaEkVeeSMlddozbFZzYSuEJyktpDVGt0mZvrcoORJPtVK0+5KwBIzemi12W5oSSbdZ8lGB\nth+M3OTToB67cysQAhanRKgt5TPG3Q4+wZ89jWqMJSlKrHVPnrZvjkFprVMSBTTqLZy8coP61i6W\nprjR2oh3oNKZ9sJWTbahnxoXTOQob817zCPeMOzJryRjTLDzp1VZg9FTGeBTsANM2nNJ48P8SYwM\nZHfe8EjduyWFu5REgSRtZiPtzqvAy8PAvMlusLbWm6RVUH9VSQPWGAaDYElKJAcLq2nvMqktx2ZG\ntGEoq2/j/PUG9woj9ZC0Ctrr4dpRtZXYxNLUSE5cruNGS6faUpzHha1KokDMNLWVWI2Ukj15ldwx\nKQx/b4fkoDiOySsAoVmPeWlKFK2dJj65qL1usT2MaMPQk1a21NlDz21h4kIl1npBm1XQS1IiMUvY\nN1xHfna2KgkCiSuVhAGNkV/exPUbbe4VRuohMBLiZmrWMMyZEEqgt4emq6BHtGHYnVvJxHB/Joar\n1B9mILwDYMJ85ebQYKw1PTaIqFE+7NbwzTEgxQegq1WzYaQ9eZUIoaQXuyVJK5W+YQ3X1VZiNV4e\nBhYkRbAvv0qzfcNGrGFoaOviWHEtS90hf/tWJK2ChmtQ6fJicLsRQrA0NZJDRdW0dWo31npLCraB\ndxDE36G2EpvYnVfB9LHKvG63pGdBv2DHwPu5KUtSIqlt6dRs37ARaxgOFCgjPJe4oyvdQ2JPrFWb\n4aSlKcrIz8NFw2zkp9kEBTstqZVuUPtiJaX1ylAZtwwj9RCWAKEJmm2qNz8xHE+j0Gxm3og1DLtz\nKwl3h/4wAxEQYYm1avPmmD0hhEAfD83eHLfk+kmlCEurYSRLeM+tH4pA+fe98jG01autxGoCfTyZ\nMyGU3XmVmuwbNiINQ0e3iQMFVSxOdoP+MIORtAoqzmtyRoOn0cCCxAg+uqDdWGu/XNgKBk/NjvDc\nnVfJpIgAJrjj2lpvklaBuVvpuKpBlqZEcrmmhUvV2pvRMCINw9FLtbR0mtzble6h56lU47HW0xqN\ntX4OKZXQ3vh54DNKbTVW09DaxfHLde7vLQDEZkJApGY95sWWf+PdGvSYR6Rh2JNXiZ+XkbkT3aQ/\nzED0xFoLtJm6p/VY6+eoKYS6S0rWjAbZX6B4b5owDAaDUuh5cS90d6itxmqig3xJjw3S5Gd/xBkG\ns1myN7+SeQnh6s9eGCrDINa6R6Ox1s/Rk1ufqE3DsCdPA2trvUlaZZnRcFhtJTaxJCWSsyX1VDVp\na/jQiDMM2aUNVDZ2aOOJqQc91uo+FGy3tEaPUVuJ1Xy2thbh/mtrPYy/Czz9NesxL0mJRErYl6+t\nQk+HGAYhxHIhRIEQ4qIQ4tl+3hdCiN9Z3j8vhJg+1GMdzZ68SowGwcIkN2qaNxixM5R5uBqdBa3l\nWOtNNFXC9SzNTmo7VlxHS6dJWw9Fnj4waaGyxqZBjzMpKpC40b6aCyfZbRiEEEbgj8AKIAXYKIRI\n6bPbCiDB8vM48LwVxzqUPXmVZI4bzWh/L2dexrEYjL1irdrrPaTlWOtNFO4ApGbXF/bkVeDraeS2\niSrONbeFxJXQVA5lZ9RWYjVCKE31Pr5YQ0tHt9pyhowjPIZZwEUpZbGUshN4E1jXZ591wF+lwjEg\nWAgRPcRjHca12lYKKpu09cTUQ9Iq6GiEK3qsVTUubIfgcRDh1GcXpyClZG9eFfMmh2lnba2HhGUg\nDJr1mJekRNLZra1CT0cYhligd5L9dcu2oewzlGMdRk8baLfspjoYE+aDp5+mbw4txlo/paNZ6Y+U\ntEqTTfOySxuoaGxniRY/+/6hMHauZjsAzIoPIcjXU1OhVM0sPgshHhdCZAkhsqqrbbO8bZ0mZowb\nzdhQPwercwGevkrHVT3Wqg6XPgJTh6azkQwCba2t9SZxJVTlwo0raiuxGg+jgYVJSqFnt8mstpwh\n4QjDUAqM6fV3nGXbUPYZyrEASClflFJmSikzw8NtGyzy9KIE3n1irk3HugWJK6GxVOk6qTG0Gmv9\nlILt4DtaeXLVIHvyKsmMDyFES2trvelZ19Go17AkJZL61i6yrmqj0NMRhuEkkCCEGC+E8AIeALb0\n2WcL8EVLdtIcoEFKWT7EYx2K0GAY4FMmL1dirVq9OZJ7Yq0aG2Bi6obCnUqs2+hmQ22GQEldKxcq\nmrRR6X8rQiZAeLJmQ6nzJofjZTSwVyMes92GQUrZDTwF7ALygbellLlCiCeEEE9YdtsOFAMXgZeA\nbw50rL2ahi3+oTBmjmbbY8wcH8IoLTbVKzkObTc0m43UE9vWZNJFb5JWKjO2W+vUVmI1Ad4e3DYp\nlD352ij0dMgag5Ryu5RyspRyopTy55ZtL0gpX7C8llLKJy3vp0spswY6VmcAklZCZTbcuKq2Eqvx\n/DTWWqmZWCugPKUavZQ1Hg2yJ6+CyZEBjAv1V1uKfSSuUmZsF+1WW4lNLEmJ5GptK0VV7l/oqZnF\nZx0LPYufGnWpl6REcaO1i1MaibUqTfO2KRW43oFqq7Ga+tZOTl65oX1vAZSK84AozY78XGyZlqcF\nj1k3DFojdCKEJ2n25rgrUYm1auHmAKD6Aty4rNkwUk/Lc02mqfbFYFCGV13cB13aq4eJHOXD1DHB\nmkhb1Q2DFknUdqx17kTtxFo/NcCTV6irw0b25FUSEejNlNggtaU4hqRV0NUClw+prcQmlqZEcq6k\nnspG9zZsumHQIkk9sVZtNtXTUqyVC9uUuQCjotVWYjXtXSYOFlazOEUDA6mGyvh54BWg2aZ6PZlh\ne/Pd22vQDYMWiZluibVqc4BJT7zb7cNJjWVQdlqzYaSjl2pp1VrTvMHw8IZJi5TMPLOGEhgsTIoI\nID7Uj9257v3Z1w2DFhkusVbL7GG3pWeBP2m1ujpsZHdeJf5eRm7TwkAqa0haDc2VUHpKbSVWI4Rg\naWoURy/V0tTepbacW6IbBq0yHGKt1xuoaHBjw3ZhO4RMhLDJaiuxmp6BVHclhuPtobGmeYORsASE\nUbPhpCUpkXSazBwsdN+merph0CrDJNa6x11jre0NitFNWqnJpnlnr9dT3aSxgVRDxXc0xN+u2cy8\n6WNHE+rv5dahVN0waJVhEGsdH+bvvuGki3vB3KXdMFJuJR4GwcLEYWgYQPn/UlMINUVqK7Eao0Gw\nKFlpqtflpoWeumHQMp/GWrMG39fN6Gmqd6y4lkZ3jLVe2A5+YRA3U20lNrE7r4I5E0IJ8vNUW4pz\n6Cn01KjXsCQliqb2bo4Xu2fKuW4YtEzCEjB4aPbmWJoSSZdJcqDAzWKt3Z1K24XEFcr0PI1xsaqZ\n4uoWlqYOU28BIHgMRE/V7Gf/zoQwfD2Nn86IcTd0w6BlfEdD/B1K2qoWisX6MG3saMICvNwvnHTl\nsDItL0mbs517vmx6WjAMW5JWw/WT0ORmn58h4ONp5M6EMPbkuWehp24YtE7Saqi9qMRbNYbRIFiU\nFMmBgmo6uk1qy/mMC9vA01+ZmqdBdudWMiUuiJhgX7WlOJekVYDUbLfhpalRlDe0k13aoLaUz6Eb\nBq3T81Sb/6G6OmxkaWokzR3dHL1Uq7YUBbNZMQyTFilT8zRGZWM7Z0vqtT17YahEpMDoeM2GkxYl\nRWA0CHa5m8eMbhi0z6gYiJ2h2Zvj9klh+HkZ2eUulaClp6C5ApLXqK3EJnpSIJemDoOmeYMhhOIx\nXz4I7Y1qq7Ga0f5ezIoPcZ/Pfi90wzAcSFqltG5o6Hcqqlvj42lkfmI4e/IqMZndINZ64UNlQT9h\nidpKbGJ3XiXxoX4kRASoLcU1JK0CU6eSXqxBlqVGcrGqmUvV7tU3zC7DIIQIEULsEUIUWX6P7mef\nMUKI/UKIPCFErhDimV7v/ZsQolQIcdbyo82mNGqTZHm61eiMhmWpUdQ0d3DmmsozGqSE/K0Qf6ey\nsK8xGtu7OHqphqWpUdoeYWsNY2YracUa9Zh7PDt3CyfZ6zE8C+yTUiYA+yx/96Ub+I6UMgWYAzwp\nhEjp9f6vpZQZlh9tfrOpTfhkCE3QbFO9BUkReBrdINZaXQB1lyBZm0Vt+y9U0WWSI2N9oQeDUUkr\nLtoN3R1qq7GamGBfpsQFuV1TPXsNwzrgNcvr14D1fXeQUpZLKU9bXjehzHaOtfO6On1JXg1XPlZm\nE2uMUT6e3DYxjF25KqfuXbAs4CdqM011Z04F4YHeTB+rPW/HLpLXKunFGu0btiw1irMl9W7VN8xe\nwxAppSy3vK4ABnxUEULEA9OA4702Py2EOC+EeKW/UJTOEElaA+ZuKNipthKbWJ4WxbW6Vi5UNKkn\nIn+rZmcvtHWaOFBQzbLUYTR7YahMuAu8AiF/i9pKbGJZak8bevcJJw1qGIQQe4UQOf38rOu9n1Qe\n9W75uCeECADeA74lpexJIXgemABkAOXArwY4/nEhRJYQIqu62s0qZd2BmGkwKlazaauLkyMRQnnq\nVYX6Eig/q9kw0qGiatq6TCxP1Z5RsxsPb5i8TFlnMLtRPcwQmRgewIQwf7fKThrUMEgpF0sp0/r5\n+QCoFEJEA1h+V/V3DiGEJ4pR+LuU8v1e566UUpqklGbgJWDWADpelFJmSikzw8PDrfuvHAkYDErq\n3qV90OFeGQ5DITzQm8xxo9VbZ+hZn0nSZprqrtwKgnw9mT0hRG0p6pC8Blpr4dpRtZVYTc+MhmPF\ntdS3dqotB7A/lLQFeNTy+lHgg747CCU94v+AfCnl//Z5r/fjzQYgx049I5uUtdDdDhe1OfJzWWoU\nFyqauFbb6vqL521RCqbCJrn+2nbSZTKzN6+SxcmReBpHaAb6pMXg4aNZj3l5WhTdZsne/H6frV2O\nvZ+iXwJLhBBFwGLL3wghYoQQPRlGtwOPAAv7SUt9TgiRLYQ4DywAvm2nnpHN2LlK6p5Gb45lltS9\nnbnlg+zpYJoqlSfN5LWuva6DUDrUdrM8bQQUtd0K7wCYuEj57Lth76HBmBoXREyQDztzXPzZvwUe\n9hwspawFFvWzvQxYaXn9MdDvapiU8hF7rq/TB4NRGSyT874y8tPTR21FVjEmxI+02FHsyKng8XkT\nXXfhC1sBqXhcGmRnTgV+XkpTthFN8hplcFXZaaUbgIYQQrA8LZrXj1+lqb2LQB9126WPUL9zGJO8\nDjqbofiA2kpsYkVaNGeu1VPe0Oa6i+ZvUUZ4RqQMvq+bYTJLduVWsiAxAh9P7bUIdyiTlylV6xr1\nmFekR9HZbeajC+qHk3TDMNwYPw+8g7R7c1jCIS7LTmqtg8uHFW9Bg9XCp6/doKa5Y3jPXhgqfiFK\n1XreFk2Gk2aMHU14oLd6mXm90A3DcMPDCxKXKy61yQ0now3ChPAAkqIC2ZHtopujYDtIk2bXF7Zn\nl+PlYWDRcJ+9MFRS1irV65W5aiuxGoNBsCxVaUPf1qlu2q1uGIYjyWuUCugrH6utxCZWpEVz8mod\nVY0uqATN2wJBY5U6EI1hNkt2ZFdw1+RwArztWi4cPiStAWGAvM1qK7GJlWnRtHWZOFiobjhJNwzD\nkUmLlUEzGr05VqRHIaULGou1N0LxfsWQajCMdKbkBhWN7axKH4FFbbciIBzG3Q65mzUZTpo1PoTR\nfp7sUDmcpBuG4YinrxJOyv8QTN1qq7GahIgAJob7s93Z4aTCXUrLZo1mI23PrsDLaGBRcoTaUtyL\n1PVQWwRV+WorsRoPo4GlKVHsy69SdaqhbhiGKynrlUrQK4fVVmI1QghWpkdz/HIttc1O7JiZuwkC\nYyDulgX3bosSRipn3uQw1VMb3Y7ktZoOJ61Ij6K5o5vDhTWqadANw3AlYYkSTsrdpLYSm1ieFoVZ\n4rz+Me2NSoV46nqlnYjGOHu9nrKGdlbqYaTPExDxWThJg9w+KYxgP0+2ni9TTYP27gidoaHxcFJK\n9CjiQ/3Ylu2km6NguxJGSt3gnPM7me3ny/EyGlg8kmYvWEPKOqgp0GQ4ydNoYHlqFHvyKmnvUiec\npBuG4UzqBmirgyva61MvhGD1lBiOXqqluskJ4aTcTRA0BuJmOv7cTkZKyY6cCu5MCGOUHkbqn+S1\ngNCs17BqSjQtllbqaqAbhuHMpMXgFaDZcNLqqdGYJexwdP+YthtwcZ/yVKnBbKRz1xsorW9jhR5G\nujWBkUo4SaPrDHMnhBLi76VaOEk3DMMZT1+YvFwZQKPBYrfEyEASIgLYes7BhuHCdjB3Qdrdjj2v\ni/jwXBleRgNL9DDSwKSuh+oLUJmnthKr8TAaWJ6mZCepUeymG4bhTk846fJBtZVYTU846eTVOsf2\nTsrdBMFjIWa6487pIkxmydbzZcxPDCfIVw8jDUjKehBGyHlPbSU2sXqKUuymRu8k3TAMdyYtVsYe\n5mg3nCQlbDvvIK+htU4pakvdoMkw0onLdVQ2drBmaozaUtyfgHBl7GfOu5osdps9PpSwAG9Vwkm6\nYRjuePoolb35W5RW3BpjYngAKdGj2Ooow5D/oTIbO1WjYaTzZfh5GVms90YaGmn3wo0rUHpabSVW\nYzQIVqZH8dGFKpo7XJtZqBuGkUD6vdDRCEW71VZiE6unRnO2pJ6SOgdMdst+R2mxHT3V/nO5mC6T\nmR3Z5SxJicTXa4S32B4qSavA6KV4DRpk9ZQYOrqVCX2uxC7DIIQIEULsEUIUWX6PvsV+VyyT2s4K\nIbKsPV7HTsbfBf7hypeiBlkzRQmb2O01NJYpjQWn3K/JMNLHRTXcaO369N9DZwj4BkPCUmV4lVnd\njqW2kDluNLHBvmw+W+rS69rrMTwL7JNSJgD7LH/figVSygwpZaaNx+vYitFDCZ0U7oL2BrXVWM2Y\nED+mjQ3mA3tvjux3AQnp9zlEl6v58FwZQb6ezJscrrYUbZF2DzRXwNVP1FZiNQaDYG1GDIeLaqhx\nZnuYvte18/h1wGuW168B6118vM5QSb8PTB1wYZvaSmxiw7RYLlQ0kV/eaPtJst9WMpFCXTg21EG0\nd5nYlVvBirQovDz0CLBVTF6u1PNkazOctD4jFpNZOi4BYwjY+wmLlFL2qK0AbrUiJoG9QohTQojH\nbThex17iMiF4nGbDSavSo/EwCDafsdFrqLoAFdlKGEmD7MuvoqXTpGcj2YKXHySuhLwPoLtTbTVW\nkxgVSFJUoEvDSYMaBiHEXiFETj8/63rvJ6WUKAagP+6QUmYAK4AnhRDz+u4wyPEIIR4XQmQJIbKq\nq9UpE9c0QiiL0MUHoFn9mbLWEhrgzV2Tw/ngbBkmsw2ph9lvKx03NZqNtOnMdSJHeTNnQqjaUrTJ\nlPuhvV5pnKhB1k+L5cy1eq7WtrjkeoMaBinlYillWj8/HwCVQohoAMvvfr9xpJSllt9VwCagp8/x\nkI63HPuilDJTSpkZHq7HWG0i/T6QZmUhToNsmB5LRWM7x4trrTtQSsVTmjBfaZWgMWqaOzhQUM36\nabEYDdpbNHcLJiwA/wg4+w+1ldjE2qkxCAEfnHVNTYO9oaQtwKOW148CH/TdQQjhL4QI7HkNLAVy\nhnq8jgOJSIaoKXDuDbWV2MTi5EgCvD3YZG04qeQE1F+DdG2GkT48V0a3WXL3tDi1pWgXo4fiNRTu\nUoocNUZMsC+z4kPYfLYU6YJiPXsNwy+BJUKIImCx5W+EEDFCiO2WfSKBj4UQ54ATwDYp5c6Bjtdx\nIhkPQvlZTfaP8fE0siItih05Fda1Iz7/Jnj4QvJq54lzIu+fLiUtdhSJUYFqS9E2Ux9QemRptEXG\n+mmxFFe3kFNqRwLGELHLMEgpa6WUi6SUCZaQU51le5mUcqXldbGUcqrlJ1VK+fPBjtdxIun3gcED\nzmnTpd4wPZbmjm725g+x4KerDbLfU6q/vbX3xVpY2UR2aYPuLTiCqHSITNOsx7wyLZo1U2Pw9HB+\nOFHPextp+Icp6Xvn3tLkAJ8540OJDvLhvVPXh3bAhW3Q0QDTHnKuMCfx/ulSjJZcdh0HMHUjlJ6C\n6kK1lVhNkJ8nv984jaSoUU6/lm4YRiIZD0JLFVzap7YSqzEYBHdPj+VgYTUVDUPo/XTmdQgaC/Gf\nS4Rze0xmyeYzpcyfHE5YgLfacoYH6fcp2Wnn31RbiVujG4aRyKQl4BcKZ/+uthKbuD9zDGYJ750e\nxGuoL1HSczM2anKu85FLNVQ0tnP3dD2M5DACI2HiIsVjNpvVVuO2aO9u0bEfDy8lQ6dghyYzNMaF\n+jNnQghvZ5VgHqim4dybgFQ8JA3y1skSgnw9WZQcobaU4UXGRmi8DpcPqK3EbdENw0gl40EwdWo2\nQ+MLM8dwtbaV45dvYdikVDyi+DthdLxLtTmCupZOdudWcvf0WHw89U6qDiVxFfiGwKnXBt93hKIb\nhpFK9BQlS+PUa5ocYrIiLZpAHw/ezirpf4erR+DGZcjQ6qLzdTpNZjbOGqu2lOGHp4+yCH1hGzTr\nXRT6QzcMI5kZX4LKbCVLQ2P4eBpZlxHD9uxyGtv7mWd95nWlcVrKWteLsxMpJf84cY3pY4OZHKm9\nFFtNMONRpaZBo2nbzkY3DCOZ9PvA0x+y/qK2Epu4P3MMHd1mtvRtE9BaB7nvK5WuXv7qiLODk1du\nUFzdwgO6t+A8whNh7FzNeszORjcMIxmfUTDlPmWdoa1ebTVWkx4bRFJUIG+cuHZzm4Cz/4Dudsj8\ninri7ODNE9cI9PZg9ZRotaUMb2Y8BnWXlOFNOjehG4aRzowvQXcbnH9LbSVWI4Tg4TnjyC1r5PQ1\ni2EzmyHrFRgzG6LS1BVoAw2tXWzLLmfdtBj8vDzUljO8SVkHPkFw6lW1lbgdumEY6cRkQMw0JZyk\nQZd6w7RYAr09+NvRK8qGyweVp0CNegubzlyno9vMAzP1MJLT8fSFKQ9A/hZosbJj7zBHNww6itdQ\nnQ8lx9VWYjX+3h7cMyOObdnlVDd1wMmXlVTElHWDH+xmmM2S145eJWNMMGmxQWrLGRnMeExJ2z7z\nV7WVuBW6YdBRZuJ6j1K+VDXII3PH0WWSbP04Synam/6IkpKoMQ4WVXO5poUv3R6vtpSRQ2QKjJ8H\nJ14CUz/ZbSMU3TDogHcATHsYcjdBo2sGgTiSieEB3JkQhinrVaQ0Kx6QBvnLJ1eICPRmRZq+6OxS\nZn8DGksh/0O1lbgNumHQUZj9dWW624kX1VZiE4/OjGJd905qou6EkPFqy7Gai1XNHCqs5pE54/Dy\n0G9LlzJ5GYweD8dfUFuJ26B/AnUURsdD0mplEbrTNXNlHcnCzgOEi0Ze6FqpthSbeO3IFbw8DDw4\nW190djkGo/JgVHIcSk+rrcYtsMswCCFChBB7hBBFlt+j+9knUQhxttdPoxDiW5b3/k0IUdrrPW3e\n1a+R7WMAABB1SURBVMOFuU8qA9O1NhfXbMZw7A/UBCTxf6VjOFeirZqMhrYu3jt9nbVTYwjV22ur\nQ8ZD4BWoew0W7PUYngX2SSkTgH2Wv29CSlkgpcyQUmYAM4BWYFOvXX7d876Ucnvf43VcyJjZEDsD\njj2vrZbERbuhppCAhd9mlI8nLxy8pLYiq3jr5DVaO036orOa+IxShjnlvA9NFWqrUR17DcM6oKdF\n4WvA+kH2XwRcklJetfO6Os5ACJjzTaUOoGiX2mqGzpHfw6g4fKbewyNzx7Ezt4Li6ma1VQ2J9i4T\nLx++zNwJoaTG6CmqqjL76yBNcOxPaitRHXsNQ6SUstzyugKIHGT/B4C+A1efFkKcF0K80l8oqgch\nxONCiCwhRFZ1td4R0WmkrINRcfDxb7RR8FZ6Cq5+DHO+AUZPHrttPJ5GAy8eKlZb2ZB499R1qpo6\neHrhJLWl6IRMUFK3T7ysyTkljmRQwyCE2CuEyOnn56YKIqk0q7nlN4kQwgtYC7zTa/PzwAQgAygH\nfnWr46WUL0opM6WUmeHh4YPJ1rEVoyfc/gyUHIPLh9RWMzhHfq/UYEz/IgDhgd7cnxnH+6dLqWoc\nwuhPFekymXn+wCWmjw1m7sRQteXoANz5HehqUcKpI5hBDYOUcrGUMq2fnw+ASiFENIDld9UAp1oB\nnJZSVvY6d6WU0iSlNAMvAbPs+8/RcQjTvwiB0XDwv9zba6jMg9zNMPOrSozYwuN3TqTbbOb/Prms\norjB2XymlNL6Np5aOAkhhNpydAAikiF5DRz/M7Q3qK1GNewNJW0BHrW8fhT4YIB9N9InjNRjVCxs\nAHLs1KPjCDx94I5vw9VP4MphtdXcmgP/Cd6BcNvTN20eG+rHqikxvH70KrXNHSqJGxiTWfL8gUuk\nRI9iQaI+utOtuPOfoaNBszU9jsBew/BLYIkQoghYbPkbIUSMEOLTDCMhhD+wBHi/z/HPCSGyhRDn\ngQXAt+3Uo+Mopj8KAVFw4L/UVtI/ZWeVStU53wS/kM+9/cyiBNq6TPxxv3tmKG3PLqe4poWndW/B\n/YjJgIRlcPRP0KGNJAZHY5dhkFLWSikXSSkTLCGnOsv2Minlyl77tUgpQ6WUDX2Of0RKmS6lnCKl\nXNtrIVtHbT71Gj6Gy27oNez/T/AJhrnf7PftSREB3DsjjtePXaW0vs3F4gamy2Tm13sKSYgIYFlq\nlNpydPpj3nehrW7E1jXolc86t2aGxWvY/3P3WmsoOamk0972tNJP/xY8s3gyAL/dW+gqZUPizRPX\nKK5p4fvLkzAYdG/BLRkzExJXKtl5I3AutG4YdG6Npy/M/z5cOwp5m9VWoyAlfPQz8AuF2U8MuGts\nsC+PzB3Hu6euc7HKPUICTe1d/GZvEXMmhLAoWV9bcGuW/BS6WuHAL9RW8hkuekDTDYPOwEx/FCLT\nYPePocsNQjIXtirDeOZ9T+kKOwjfnD8RX08jv9pd4AJxg/PCwUvUtnTyLytT9LUFdycsATK/rEx4\nq3aDz09TBbw4H66fcvqldMOgMzAGIyz/JTRcg6N/UFdLZyvs/CFEpCgpqkMgNMCbx+dNZEdOBZ9c\nrHGywIEpq2/j5cOXWZ8RQ3qcXuWsCeY/C17+sOfHaiuBXf8CVfngG+z0S+mGQWdwxt+p5HYf/l91\n5zV88hvFQK38bzAOfR7y1++awLhQP360OYf2LpMTBQ7MczsvIIF/XpaomgYdK/EPgzv/CQp3wqX9\n6um49BHkvKskhIROdPrldMOgMzSW/AzM3bDnJ+pcv+6yshCYdi/E32HVoT6eRv5jfRqXa1pUa7C3\n/0IVm8+W8cS8CcSN9lNFg46NzP6G0pZ+67cVr9XVdLXDtn9WWnbc4ZqMft0w6AyNkPFKq4zst5Xx\nma5EStj5LBg8YOnPbDrFnQnhrJ0aw5/2X3J5g73G9i5+uCmbyZEBPKn3RNIenj6w9g9w47KS+OBq\nPvmN0thy1a9cNrJWNww6Q2fe9yAyHbY8DS0ujNef/qviyi/4IYyKsfk0P1qdjLengR9tzkG6MP32\nF9svUNnYznP3TsXbw+iy6+o4kPF3Kutax56Ha8dcd92aIiWEm3YPTFzossvqhkFn6Hh4wYYXlB4y\nW7/lmtS5miLFWxh/l1LlbAcRgT48uyKJI5dqeemwa7qvHrlYwxsnrvG1OyeQMcb5i4Y6TmTxv0PQ\nGPjgSddk6HW1wTtfUha/l/2n86/XC90w6FhHVJry5J7/IZx/27nX6u6E974CHj6KQTLY/3F9cNZY\nVqRF8V87C8i64tzWytVNHXznnXOMD/Pn20smO/VaOi7AOwDW/g5qL8LuHzn/ejt/AJXZsOHPEOja\nCnndMOhYz23/D8bMgW3fgcpc513no59C+TlY9we7Qki9EULwX/dOIW60L0/944zTmux1dpv5xuun\nuNHaye83TsPHUw8hDQsmLoC5T8HJl5X56M4i+1049Zf/3969BldRn3Ec//4SUEENiCgNCcgtqJGa\nEhhFHS+FgDiCUEURFcHLOHbEooOtl85U205HRztaXlBHqwhewAZEQfGGWGV06iUoBSICKSKBhnAV\nmIiGJE9f7GITCyQkZ8+Sc57PDHN295zsPjvk5Nn/Hc67A/oOi+46B+GJwR2+jEwYMz14gnrhStgd\nwRRXnz0brLUw8EY47dKEnjrrmLZMu6aQHd9Wc2fxv6ipTewypmbG/QtWUvL1Th4ZU0C/HB+zkFKG\n/gH6FMHrd8H6DxN//i1fwquTg4evwUkomRyAJwbXPB1y4JrioL1h1lWJnYVy1WvBF6P3EBgezeyu\n/XI68PvLzmDJmq38eu5yausS117y3EdfM/uTcm77eW9GFiSmpOOOIBmZcMXTcEJPKB4POxO4UvH2\nf8Ozo6BtexjzdLBwVgw8Mbjmyz4TxjwDlSthzsTENMit/xDm3ghdC2Hsc0GDd0TGndWdu4b15eXP\nN3H3S8upS0BymPHhV/xufilDTjuZKUN9IFvKatcRxr0YjO2ZOQK2lbX8nDvXw8yRULcPJiyADrkt\nP2czeWJwLdN3GIx4DMregRmXwp7Kxn/mYL5cCLPGBoOJrp0T9MaI2KTBedxRlMfcpRu5d96KZpcc\nzIzHFq3hgVe/YGh+F6ZdW+gzp6a6zn3g+vnBoLfpw4L1x5trx1dBUqiuCs558umJi7MZWpQYJF0p\nqVRSnaSBh/jccEmrJZVJuqfe8U6SFklaG76e0JJ4XEwGTISxzwfzuPxtMGxecXg/XxuOqH7xmvDL\n9soBF9+JyuQhedw+uA9/Lynnqif+yYbthze6ter7Gu57eSVTF6/lygG5PH5toTc2p4uu/eGmt4OH\nmBkjg4ebw7V8DjxxAezdBeNfhp/8NPFxHqaWlhhWApcDB101XlImMI1gzed8YJyk/PDte4DFZpYH\nLA73XWt0+gi44Q2wWniqKJh07NsmdAfdtBSeGx2M7hwwEW54M2E9kJpKElOGncrUq3/Gmso9XDJ1\nCcWfljdatWRmLFxeQdGj7zP7kw3cemFvHh5zJm0yvSCeVk7sDTctghN7BQ83s8YGbQWN+XYHzLsF\n5t0clBBuXQI5hdHH2wRKxAhQSe8Bd5lZyQHeOwd4wMwuDvfvBTCzByWtBi4ys4pw/ef3zKzRitmB\nAwdaScn/XcodCXZXBElhxZxgPeazb4VeFwXtEUcfD3V1sKcCKpYFSyd+/QEcnQXDH4T+18UdPZu+\n2cuU4mV8tG4HOR3bcUVhDpcX5tK9U3syMoSZsW5bFUvWbOWNFZv5ZP0O8rOz+OPofgw4xQu8aa2m\nGj5+HN5/GGqroWAc9BkCPc7/Xwl433dQ/lHQ627Vq1BXCxfeDedPOayJIZtL0lIzO2jtzg+fS0Ji\nGAMMN7Obw/3xwNlmNknSN2bWMTwuYOf+/UPxxNAKVJbCu3+C1fuL1gpKAlVbgy8NQFYuDPolFF4P\nx2TFFuqP1dUZC1dUUFxSzgdl234Y4N3+qEzaZmawa+8+AHp2PpaJ5/bgukGnkOntCW6/3RXBnEql\nr8C+KkDBLK3f7YbacNzMMR2h4OqglJzE9oSmJoZGU5Skd4ADDbv7rZnNb05wB2JmJumgWUrSLcAt\nAN27d0/UZV1UupwB42YFjdEVy4KBatvL4LguQeNyp17BLKkxdcc7lIwMMbKgKyMLulKxay9vl1ay\nvaqaqu9r2LuvlvzsLC7sexLdOvksqe4AsrJh9F9h5NSgqnTde8F09e06BkvRduoFfS9J2oR4zdFo\nYjCzohZeYxPQrd5+bngMoFJSdr2qpC2HiONJ4EkISgwtjMkly/Fd4PiLoe/FcUfSLNkd2jHh3B5x\nh+Fao8y20H1Q8K+VSUYr2adAnqSeko4CrgYWhO8tACaE2xOAhJVAnHPONU9Lu6v+QtJG4BxgoaS3\nwuNdJb0OYGY1wCTgLWAVUGxm+yfYeQgYKmktUBTuO+eci1FCGp+TzRufnXPu8DW18dk7XDvnnGvA\nE4NzzrkGPDE455xrwBODc865BjwxOOeca6BV9kqStBVo7uoYnYFtCQynNfB7Tg9+z+mhJfd8ipmd\n1NiHWmViaAlJJU3prpVK/J7Tg99zekjGPXtVknPOuQY8MTjnnGsgHRPDk3EHEAO/5/Tg95weIr/n\ntGtjcM45d2jpWGJwzjl3CGmVGCQNl7RaUpmklF9fWlI3Sf+Q9IWkUkmT444pGSRlSvpc0mtxx5IM\nkjpKmivpS0mrwuV0U5qkO8Pf6ZWSZks6cle9aSZJ0yVtkbSy3rFOkhZJWhu+RrKebNokBkmZwDTg\nEiAfGCcpP96oIlcDTDGzfGAQcFsa3DPAZIIp3tPFVOBNMzsNKCDF711SDvArYKCZ9QMyCdZ5STUz\ngOE/OnYPsNjM8oDF4X7CpU1iAM4CysxsnZlVAy8Co2KOKVJmVmFmn4Xbewj+YOTEG1W0JOUClwJP\nxR1LMkjqAFwAPA1gZtVm9k28USVFG6CdpDZAe+A/MceTcGa2BNjxo8OjgJnh9kxgdBTXTqfEkAOU\n19vfSIr/kaxPUg+gP/BxvJFE7i/Ab4C6uANJkp7AVuCZsPrsKUnHxh1UlMxsE/BnYANQAewys7fj\njSppuphZRbi9GegSxUXSKTGkLUnHAS8Bd5jZ7rjjiYqkEcAWM1sadyxJ1AYoBB43s/5AFRFVLxwp\nwnr1UQRJsStwrKTr4o0q+SzoUhpJt9J0SgybgG719nPDYylNUluCpPCCmc2LO56InQdcJmk9QVXh\nYEnPxxtS5DYCG81sf0lwLkGiSGVFwFdmttXM9gHzgHNjjilZKiVlA4SvW6K4SDolhk+BPEk9JR1F\n0Fi1IOaYIiVJBHXPq8zs0bjjiZqZ3WtmuWbWg+D/910zS+knSTPbDJRLOjU8NAT4IsaQkmEDMEhS\n+/B3fAgp3uBezwJgQrg9AZgfxUXaRHHSI5GZ1UiaBLxF0IthupmVxhxW1M4DxgMrJC0Lj91nZq/H\nGJNLvNuBF8IHnnXADTHHEykz+1jSXOAzgp53n5OCI6AlzQYuAjpL2gjcDzwEFEu6iWCG6asiubaP\nfHbOOVdfOlUlOeecawJPDM455xrwxOCcc64BTwzOOeca8MTgnHOuAU8MzjnnGvDE4JxzrgFPDM45\n5xr4L71Ko2BsAxxiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111af7b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HMAyNkF9ayb7MIqYN7OQ4N5KVefNUUbWDBx17XhdgMgnu7R/FrtMFRgOfxvjs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ce9b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于color参数：[https://matplotlib.org/2.0.2/api/colors_api.html](https://matplotlib.org/2.0.2/api/colors_api.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aqk45nF3M0dwSrnXGvQ+q0vCttzrn3E7mmt7htPMy/7Qw3xoxDEMjrEzOoke4\nP72aamFoC0FBMGGCmlbrMDppYMcgogN9WJncturUN5vVq6FrV9iypel93ZAVB85iEjApwUmGITdX\nFdVLT3fO+Z3IT+6klOxW604yDMNlyCuuZMeJc0xJiHTeRa6/XjWF377deddwEkIIJiVEseloHsUV\nhjvpF3zxhSp/MWSI1kpajJSSb5KzGN4thLCAFpSXbwlz56q/Oo1OmtovioLSKna0UneSYRguw9o0\n5Uaa7OiFt/pcd51agNbpwzGlXyRVNRa+PZSrtRT3oqJCRd3MnKkK5+mMo7klpOeVOvfe79JFGc2v\nvnLeNZzINb3D8fVsve4kwzBchlXJ2XQL9aNPpBPcSHUEBakfDx32ggYY1KkDEe29+eZA63w4bGbN\nGiguVjNCHbIyOQshYGK8kwvezZ4NO3fCqVPOvY4T8PUyM6ZvOGtSs1tlspthGBrgXGkVW9MLmNwv\n0vHRSJeycCH8+9/OvYaTMJkEkxOi2HgkjxIj2e1nvvxSuZFGj9ZaiU2sTslmSOdgwgMcHI10KbNn\nw7Rpui3FPbVfFPklVa0y2c0wDA2wLk2NAiY7a+GtPnWGp1ifdd6n9IuiqsbCd4Y76WdeegkWL9al\nGyk9TyW1TXLm2lodPXrA8uWqfpIOGW11J61she4kwzA0wMrkbDoFt3NsUltj3H8/DB6sy+ikwZ07\nEBbg3SofDpsJC1MtPHXIqhQVZeYSw1BHRgYU6q9lrK+XmdF9wliTmoOllbmTDMNwCYVlVfx4LN81\nbqQ6+veHo0chOdk113MgZpNgckIk3x3OpazKcCfx8svwwQdaq7CZVSlZDOgY5LjaSE1x4gR06gSf\nfOKa6zmYifGR5BVXsjfjvNZSHIphGC5h/cFcalzlRqpjxgzlUtJphMak+Egqqi1sOtLGS3HX1Kje\nC+vWaa3EJjLOlZGSWcSUfi6cLXTtqspx6/TeH9MnHC+zidUprSufxzAMl7A6JZuoQB8SYwNdd9GI\nCLjySt0+HEO7BhPUzpM1qW08C/qHH1Spk1mztFZiE6tSlDvQpYMiUIvQ338PGvRyt5cAH09G9ghh\nVUp2q+rs5hDDIISYJIQ4LIQ4JoR4soHvbxZCHBBCJAshtgghEut9d9K6fZ8QYpcj9NhKaWUNPxzN\nY2K8C91IdcyeDampcPiwa6/rADzMJsb3jWD9QdXQqM2yeLGqATRpktZKbGJVSjbx0e3pGNzOtRee\nPVv1Ql9asMZJAAAgAElEQVS61LXXdRCTEiI5c76c1LNFWktxGHYbBiGEGXgdmAzEAfOEEHGX7HYC\nuFpK2Q/4K7Dgku9HSykHSCmT7NVjD98fyaOyxsLEeBdOpeuYOxfeew8iNbi2A5gYH0lxRQ3b0ltf\n6F6zsFhUwbxJk8DPzhaYGpBTVMHe04VM0uLeT0yEbt3Ufz8dMj4uEpOANamtx53kiBnDUOCYlDJd\nSlkFfAZMr7+DlHKLlLJudWYbEOuA6zqcNanZdGjnyZAuHVx/8eho+NWvINCFLiwHcmXPUNp5mVnd\nih6OFpGfrxZRZ8/WWolNrE1TbsCJroxGqkMIVTfp/fddf20HEOznxbCuIa1qncERhiEGyKj3+Yx1\n2+W4C1hV77ME1gshdgsh5l/uICHEfCHELiHErjwn+CKraix8ezCX8XEReJg1Wno5dw5efx0yM7W5\nvh34eJoZ3Tuctak5rTITtEnCw1XBvJtv1lqJTaxNzaZrqB89w/21ETBihG5ny6DcSUdzSziWq89k\nvUtx6S+gEGI0yjA8UW/zlVLKAShX1P1CiFENHSulXCClTJJSJoWFhTlc25bj+RRX1mjjRqojLw8e\neED5qnXIxIRI8ksq2Xu6dYXuNYmUuk1QBLhQVs3W4wVMiI9w/dpafRYuVKXodcgEa/mQ1uJOcoRh\nyAQ61vsca912EUKI/sC7wHQp5U+OaCllpvVvLrAE5ZpyOWtSc/DzMjOyR6gWl1f07q1C93Tqax3d\nO6xVhu41SWoqhIaqdq065NvDOdRYpLaDIoDvvoO//U0VIdQZUYG+DOgY1GrufUcYhp1ATyFEVyGE\nF3AjcFFDVyFEJ2AxcKuU8ki97X5CiIC698AEIMUBmlpErUWyLi2ba/qE4+NpdvXlL2bmTNi0SYU9\n6oy60L01aa0rdK9Jli6F6mqVva5D1qTkEB7gzYDYIG2FzJyp6iZt2KCtDhuZGB9JcuYFzhaWay3F\nbuw2DFLKGuABYA1wEFgkpUwVQtwrhLjXutvTQAjwxiVhqRHAZiHEfmAH8I2UcrW9mlrKntPnyS+p\n0iYi41JmzIDaWt32xJ2UEEnGuXLSslpP6F6TLFkCw4fr0kdeXlXLxiO5TIiPwGTS0I0EqgVqQIBu\nZ8x17qT1raCroYcjTiKlXAmsvGTbW/Xe3w3c3cBx6UDipdtdzdrUbLzMJq7p7fi1ixaTlKSiWw4e\n1FqJTYztG4EQyaxLyyE+Wp8RVi3i9GnYswdeeEFrJTax6WgeFdUahWhfirc3TJ2qelnU1qr2tzqi\ne5g/3cP8WJuaw20jumgtxy7afOazlJK1aTlc0SOEAB83qIYphDIKzz2ntRKbCPX3JqlzB9a2lSzo\nZcvU3xkztNVhI2tSs2nv48HwbiFaS1HMmqWa+GTr01c/IT6SbekFXCjTd1fDNm8YjuSUcKqgjAlx\nbjBiqqOdNfNUp376CXGRpGUVkXGuTGspzmfyZNVPo2dPrZW0mJpa1X1vbN8IPLUK0b6UOXNgxw6I\naSzi3X2ZEBdBjUXy7WF9D4zc5G7QjrWp2QgB4+LCtZZyMbfcAvMvm9bh1oyPU77WdWn6fjiaRY8e\nqmy6Dtl58jyFZdVMiHNyp7aWUBcuW1qqy4FRYmwQEe29dT9jbvOGYd3BHAZ0DHJ+t6qWYjKponrV\n+puSdgn1o3dEAGvT9OkOaDabN6uck9parZXYxNq0bLw8TIzq5QZra/VZvVqF/+qwDL3JJBgfF8H3\nR/KoqNbnfQFt3DCcLSznwJkL7uVGqmPGDDh/Xv346JAJ8RHsOHGO86VVWktxHi+9BA89pIy4zpBS\nsi4thyt7hOLn7ZAYFMcxYIDqg163fqMzJsRFUlZVy4/H8rWWYjP6u6MdSF1Y2QRnNz23hQkTVJSG\nTh+O8XERWCRsaK0tP8vKYM0amD79Z/eHjjiYVcyZ8+Xu5UaqIzJShf/q9N4f3i2EAG8PXWdBt2nD\nsDY1h+5hfnQP06g+TGP4+8P48erh0KGvtV9MIJHtfVir44ejUdavV8ZBp9FI69JyEEKFF7sl06fD\n7t2q7afO8PIwMbpPOBsO5uq2blibNQwXyqvZll7ABHeI374c8+fD3Xfrcp1BCMGE+Ag2Hc2jvEq/\nvtbLsmyZqoSr097Oa9OyGdRJ9et2S+oM7tdfN76fmzI+LoKC0ird1g1rs4Zh42HVwnO8O06l67j2\nWvjTn8DLS2slNjEhTrX8/OGo/jpzNUlKCkyZAp5ukPvSQjILVVMZt3Qj1dG7N/zrX2rWrEOu6R2G\np1noNjKvzRqGtak5hLlDfZimKCnRbQ/hYd2CCfDx0O3D0SjbtsGCS/tN6YN1VveeWw+KQC3s9+ql\ntQqbCPDxZHi3ENam5eiyblibNAyVNbVsPJzLuL5uUB+mKd54Qy1Enz6ttZIW42k2Mbp3ON8e0q+v\n9bIIodaBdMjatBx6hPvTzR3X1upTW6tcSVu3aq3EJibERXAiv5Tjefrr0dAmDcPW4wWUVtW691S6\njunWZng697Xu0amv9RdICVdeqdwcOuRCWTXbT5xz/9kCKON7zz3w8staK7GJcdb/xmt1OGNuk4Zh\nXVoO7bzMjOjuJvVhGqN3b/XSaeie3n2tv+DQIfjxRxVKrEO+O6xmb7owDCaTWmdbtUrlNeiMqEBf\n+sUE6vLeb3OGwWKRrD+Yw6ieYdr3XmguM2bAxo1QWKi1khZT52tdp1Nf6y+oM9DXXaetDhtZl6aT\ntbU6pk9X62wbN2qtxCbGx0WwL6OQ3GJ9NR9qc4YhOfMCOUWV+hgx1TF9OtTUqNh5HaJnX+svWLZM\nlUbXYZG3n9fWwt1/ba2OMWNUUUmdzpjHx0UgJWw4qK9ET4cYBiHEJCHEYSHEMSHEkw18L4QQr1q/\nPyCEGNTcYx3NurQczCbBmD5uVjSvMYYNg/37YfZsrZXYhJ59rReRnQ3bt/+87qMztqWfo7SqVl+D\nIl9fmDgR9u7VWolN9IkMILaDr+7cSXYbBiGEGXgdmAzEAfOEEHGX7DYZ6Gl9zQfebMGxDmVdWg5J\nnTvQwU9HuQEmE/Tvr8vSC6BvX+tF1NSoSqo6NdDr0rLx9TRzRXcN+5rbwn/+A1u2aK3CJoRQRfU2\nH8untLJGaznNxhEzhqHAMSllupSyCvgMuHRINR34SCq2AUFCiKhmHuswTheUcTinWF8jpjpycuDO\nO+H777VWYhN69bVeRGwsvPYa9O2rtZIWI6VkfVouo3qF6mdtrY7AQN0OikDd+1U1+kr0dIRhiAHq\nFzQ5Y93WnH2ac6zDqCsD7ZbVVJuifXtYtEi9dIhefa0/UVqqRq06LbGdnHmB7KIKxuvx3gcVsjpx\notYqbGJol2ACfT115UrVzeKzEGK+EGKXEGJXXp5tlre8qpbBnTvQKaSdg9W5AF9flej29de6LKqn\nV1/rT6xZAyNHwg8/aK3EJtal5WAS6GttrT5Swtq1cOKE1kpajIfZxJg+KtGzptaitZxm4QjDkAl0\nrPc51rqtOfs051gApJQLpJRJUsqksDDbGos8OLYnX947wqZj3YLp0+HMGdV8Xmfo1df6E8uWQYcO\nKrlNh6xLyyGpSzDBelpbq0/dgr+Oo5MKy6rZdUofiZ6OMAw7gZ5CiK5CCC/gRuDSNN2vgdus0UnD\ngQtSyqxmHutQhI59lUybphai9fpw9K3zteqsgUlNDaxYAVOngoebNbVpBhnnyjiUXayPTP/L0b07\nxMfr9t4f1SsML7OJ9TqZMdttGKSUNcADwBrgILBISpkqhLhXCHGvdbeVQDpwDHgH+E1jx9qrqdUS\nGgo33KDWG3TIkK7BtNdjUb0ff4Rz53Qbplrn29Zl0EV9pk9Xrrxz57RW0mL8vT24okcI6w7qI9HT\nIcMfKeVK1I9//W1v1XsvgQY7pjd0rEEjfPqp1gpsxvMnX2sONbUWPMw6WeJasUKVPtfp4ue6tGx6\nRfjTOcRPayn2MXeuMgrl5VorsYnxcRH8aUkKR3NL6BURoLWcRtHJk2lwERYL5Oozumd8XCTny6rZ\nrRNfKwB/+5uKSApw74e5IQrLqth58rz+ZwugekG/+aYus84Bxlm75elhxmwYBj0ydizMm6e1Cpu4\nurfyterh4fgJb28YPFhrFTZRV/Jct2Gql2KxwI4dUKG/fJiI9j4kdgzSRdiqYRj0yBVXqEQ3nfpa\nR3TXj6+V99+Hp57SZYgwqNFpeIA3/WMCtZbiGDZsUCVivv1WayU2MSEugv0ZheQUubdhMwyDHpk+\nXSVardTn0sz4uAhOFZRxNFcHRfXeeksVL9RhNFtFdS3fH8ljXJwOGlI1l1GjlEtPp9FJdZFh6w+6\n96zBMAx6JCkJoqJg6VKtldhEnb/b7d1JmZmwc6duo5G2Hi+gTG9F85rC2xsmTVKJnhZ9JIvVp0e4\nP11C2rE21b3vfcMw6BGTSfUDWL1a375Wa+9ht6Wua55ODcPatBz8vMxcoYeGVC1h+nRV6XbnTq2V\ntBghBBPiI9l6vIDiimqt5VwWwzDolfvvh6++0mXCFVh9rWcukH3BjQ3b0qXQs6cui+bVNaS6uncY\n3h46K5rXFFOmgNms63a3VbUWvj/ivkX1DMOgV/r1U3H1OjYMAOvc1dcqJYSEwE036XJ9Yd+ZQvKK\nddaQqrl06ACbNqmgAB0yqFMHQvy83NqVahgGPXP4MDz7rG59rV1D/dzXnSSESiZ85hmtldjE2tQc\nPEyCMb1boWEAFZnn66u1CpswmwRj+6qietVuWlTPMAx6Ztcu+MtfVFcxnVFXVG9begFF7uhr1WEo\ncH3WpmUzvFsIge08tZbiHCwWde9/9JHWSmxifFwkxRU1bE93z/vMMAx6ZsoU5UrSceheda1k42E3\n87VWVUG3bvD001orsYljuSWk55UyIb6VzhZABWCsWKHCiXXIVT1D8fU0/9Qjxt0wDIOe6dABrrkG\nlizRZQLWwE4dCPX3cj930saNcOGCCgvWIXU/NnUlGFotM2bAtm2QlaW1khbj42nmqp6hrEtzz0RP\nwzDonZkz4cgROHRIayUtxmwSjO0TwcbDeVTWuFFntKVLwc8Pxo/XWolNrE3NoX9sINFB+vTBN5sZ\nM9SAaPlyrZXYxIT4SLIuVJCceUFrKb/AMAx6Z/p08PeHtDStldjEhPgISipr2Hq8QGspCotFGYZJ\nk3S5uJlTVMG+jEJ9915oLgkJqk+DThM9x/YJx2wSrHG3GTOGYdA/MTFQUACzZ2utxCZG9gilnZeZ\nNe6SCbpjh3JNzJyptRKbqAuBnBDfSormNYYQqphk+/a6dKV28PNiaJdg97n362EYhtaAl7Vdow7D\nVn08zVzTO4x1aTnUWtzg4e7TB/7zH9WtTYesTcuhS0g7eob7ay3FNfz1r/DZZ7rMNQGYGB/BsdwS\njue5V90wuwyDECJYCLFOCHHU+rdDA/t0FEJ8J4RIE0KkCiEeqvfdM0KITCHEPutrij162iyFhdC/\nv6pVr0MmxkeSX1LJ3tNu0KMhKAjuuEP91RlFFdVsPZ7PhPhIfbewtYXCQq0V2ETdzM7d3En2zhie\nBDZIKXsCG6yfL6UGeERKGQcMB+4XQsTV+/5lKeUA60uf5UK1JigIqqt162sd3SccT7Mb+FqPHYPX\nXtPtj8x3h3KprpVtY32hPv/zP9C5M1RWaq2kxUQH+dI/NtDtiurZaximAx9a338IzLh0BylllpRy\nj/V9Maq3sz5bMLkzM2aoMMvzbjDqbiHtfTy5onsoa1I1Dt37/HP47W+hrEw7DXawOiWbsABvBnX6\nxcS9dTNkCBQV6bZHw8T4SPZlFLpV3TB7DUOElLIuiDgbaHSoIoToAgwE6qfqPiiEOCCEeL8hV5RB\nM5k5E2pqdBu6NykhktPnyjiUXaydiCVLYPhwiI7WToONlFfVsvFwHhPjW1HvheYydqzq0bB4sdZK\nbGJifF0ZevdxJzVpGIQQ64UQKQ28LqpFLNVQ77LDPSGEP/AV8DspZZF185tAN2AAkAW82Mjx84UQ\nu4QQu/Ly3CxT1h1ISoLYWPXjpkPG9Y1ACDXq1YTTp2H3bjXz0iGbjuZRXl3LpPgoraW4Hm9vFSyw\ndKlqYKUzuof50y3Uz62ik5o0DFLKcVLKhAZey4AcIUQUgPVvgx3qhRCeKKPwiZRycb1z50gpa6WU\nFuAdYGgjOhZIKZOklElhYWEt+1e2BUwmVTvmhhu0VmITYQHeJHXuoN06Q936jE7DVNekZhPo68mw\nbsFaS9GGWbMgPx82b9ZaSYup69GwLb2AwrIqreUA9ruSvgZut76/HfhF0R6hwiPeAw5KKV+65Lv6\nw5uZQIqdeto2d98NN96otQqbmRgfyaHsYk4XaODjP3ZMRXb16uX6a9tJda2F9Wk5jOsbgae5jUag\nT54MCxaocvQ6ZFJCJDUWyfqDDY6tXY69d9FzwHghxFFgnPUzQohoIURdhNFI4FZgTANhqS8IIZKF\nEAeA0cDDduoxyMiAVau0VmETE62he6tTNah98+qrKrlNh6gKtTVMSmgDSW2Xw98ffv1rCNbnjCkx\nNpDoQB9Wp7hH3Se7urxIKQuAsQ1sPwtMsb7fDDS4GialvNWe6xs0wLPPqoSfvDzw8dFaTYvoGNyO\nhJj2rErJZv6o7q67sMWiXHHe3q67pgNZnZJNOy9VlK1NU1wMH38MV18NcXFN7+9GCCGYlBDFx9tP\nUVxRTYCPtuXS2+i8sxUzezaUlMD69VorsYnJCVHsPV1I1oVy11302mvhvvtcdz0HUmuRrEnNYXTv\ncHw8W1kLz5ZSXa3Cjf/7X62V2MTkfpFU1Vj49pD27iTDMLQ2xoyBwEDdhu5NtrpDXBadVFAAa9bo\nMtMZYM/p8+SXVLbu3gvNJTgYRo9WvdB1WDtpcKcOhAV4axeZVw/DMLQ2vLzUCHjZMjWC0hndwvzp\nExnAqmQXPRxff61CHHVahHBlchZeHibGtvbeC81l9mw4ehSSk7VW0mJMJsHEeFWGvrxK27BbwzC0\nRmbNUhnQ+/ZprcQmJidEsfPUOXKLXJAJ+tVXqpzC4MHOv5aDsVgkq5KzubpXGP7edi0Xth5mzlTr\nRV98obUSm5iSEEV5dS3fH9HWnWQYhtbI5Mlw9qwqFaBDJveLREoXFBYrKoJ165Qh1WHRub0Z58ku\nqmBqvzaY1HY5wsOVO+nECa2V2MTQrsF0aOfJKo3dScYwozXi4wOR+g1d7BnuT/cwP1YmZ3PriC7O\nu5DFAs88owypDlmZnI2X2cTYvuFaS3EvVq78uRS9zvAwm5gQF8k3yVlU1tTi7aFNQIExY2itnDoF\nEyfCd99praTFCCGY0i+K7ScKKChxYsXMoCD4wx9gwADnXcNJKDdSFqN6hWoe2uh21BkFHZbHADVj\nLqms4Ycj+ZppMAxDayU8HH78UeU06JBJCZFYJM6rH1NUBIsW6baS6r4zhZy9UMEUw43UMH/+s6of\npkNG9gglqJ0nKw6c1UyDYRhaK76+cN11anG1pkZrNS0mLqo9XULa8U2ykx6OZctUXan9+51zfiez\n8kAWXmYT49pa74XmEhWlgi9SU7VW0mI8zSYmxUeyLi2HimptZj2GYWjNzJ2r4vR16k6a1j+arccL\nyCt2gjtp0SLo2BGGDXP8uZ2MlJJVKdlc1TOU9oYbqWHqAgp0Gp00tX8UpdZS6lpgGIbWzKRJqoaM\nTh+OaYlRWCSscnT9mMJCldR2/fUqtFFn7D9zgczCciYbbqTLExkJo0bp9t4f0S2EYD8vzdxJ+nsq\nDJqPry888ggMGqS1EpvoHRFAz3B/Vux3sGFYulQl/11/vWPP6yKW7z+Ll9nEeMON1DjXXw9paZCi\nv6LNHmYTkxIi2XAwV5NkN8MwtHaeeQbuvVdrFTZR507aeeqcY2snbd4MXbroMs+j1iJZceAs1/QO\nI9DXcCM1ypw5qqhkSIjWSmxiWn+V7KZF7STDMLQFSkpg61atVdjEtMQopIRvDjhw1vDOO7B9uy6T\n2nacOEdOUSXXJuqv/ajLCQ9X0UlR+nS5DesaQqi/tybuJMMwtAV+9zu13lDhPs3Gm0v3MH/iotqz\nwpGGQQj1o6FDlh84SzsvM+OM2kjNo6pKtbs9dEhrJS3GbBJM6RfJt4dyKal0bWShYRjaAjfcoOL2\nV65sel83ZFpiFPsyCsk454Ccg9mzVQtUHVJda2FVchbj4yLw9WrjJbabS1mZ6mr41ltaK7GJaf2j\nqaxRHfpciV2GQQgRLIRYJ4Q4av3b4TL7nbR2atsnhNjV0uMN7GT0aIiIgIULtVZiE9f2V24Tu2cN\nmZlq9KhDFxLA5qP5nC+r/um/h0EzCAqCKVPg8891mQmd1LkDMUG+LN2X6dLr2jtjeBLYIKXsCWyw\nfr4co6WUA6SU9dMRW3K8ga14eKgIjeXL1cxBZ3QMbsfATkEss/fh+OwzVaf/5psdI8zFLN9/lkBf\nT0b1CtNair6YNw+ys2HTJq2VtBiTSXDdgGh+OJpPvjPLw1x6XTuPnw58aH3/ITDDxccbNJebboLK\nSli7VmslNjFzYAyHsos5mGWHYfvkExWJ1LOn44S5iIrqWtakZjM5IRIvD8MD3CKmTVP5PDqdMc8Y\nEEOtRTo2AKMJ7L3DIqSUdWqzgcutiElgvRBitxBivg3HG9jLsGGqecmcOVorsYmp/aLwMAmW7rVx\n1nDwIOzdq9vZwoaDuZRW1RrRSLbQrh1Mn67+/+uws1vvyAD6RAa41J3UpGEQQqwXQqQ08Jpefz8p\npUQZgIa4Uko5AJgM3C+EGHXpDk0cjxBivhBilxBiV16eNmniukYISEjQWoXNhPh7c3WvMJbtO0ut\nxYaH29cXHnxQLcTrkCV7zxDR3pvh3fQZk685b74JO3bodn1pxsAY9p4u5FRBqUuu16RhkFKOk1Im\nNPBaBuQIIaIArH8bzMSQUmZa/+YCS4Ch1q+adbz12AVSyiQpZVJYmOFjtYmKCrj9dnj3Xa2V2MTM\nQTFkF1WwPb2g5Qd36QKvvqrLPhX5JZVsPJzHjIExmE36/GHTnIAAZRR0uAANcF1iNELAsn2uyWmw\n15X0NXC79f3twLJLdxBC+AkhAureAxOAlOYeb+BAfHyUO0mnoXvj+kbg7+3Bkpa6k44cUQuPFotz\nhDmZ5fvPUmORzBoYq7UUffPVVxAbqwpL6ozoIF+Gdglm6b5MpAvcYfYahueA8UKIo8A462eEENFC\niLqg+QhgsxBiP7AD+EZKubqx4w2cyB13wO7dumyW7uNpZnJCJKtSsltWjvjll1XTopIS54lzIov3\nZJIQ057ekQFaS9E3PXqo6KTPP9daiU3MGBhDel4pKZnOjyy0yzBIKQuklGOllD2tLqdz1u1npZRT\nrO/TpZSJ1le8lPLvTR1v4ETmzVPhqx9+2PS+bsjMQTGUVNaw/mAzE37Ky1U0yuzZ0L69c8U5gSM5\nxSRnXjBmC44gMRH694ePPtJaiU1MSYji2sRoPD2c70404t7aGmFhKnzv44912cBneNcQogJ9+Gr3\nmeYdsHQpXLgAd97pXGFOYvGeTMzWWHYDB3DbbapO1uHDWitpMYHtPHlt3kD6RDp/gGMYhrbIffep\nsE0dtrU0mQSzBsXw/ZE8si80o/bTBx9A584q+1tn1FokS/dmck2vMEL9vbWW0zq4+WbVg0OnswZX\nYRiGtsiECfDii7p0rQBcn9QRi4Sv9jQxaygpUa07b79dlw15thzPJ7uoglmDDDeSw4iMhH/9C2bO\n1FqJW+OhtQADjbBYVMvPQYOgg75KVHUO8WN4t2AW7crgvqu7Y7pcCKe/P5w+rTK+dcjnOzMI9PVk\nbF99VoJ1Wx58UGsFbo/+hlEGjiE5GcaNg08/1VqJTdwwpCOnCsrYfuIy8QpSKuPn5aVi2HXGudIq\n1qbmMGtQDD6eRiVVh7NnD7z9ttYq3BbDMLRVEhNhwADVtEaHZQImJ0QR4OPBol0ZDe+weTN07w4H\nDrhWmINYvOcMVbUW5g3tpLWU1snHH6uZQ67ru6PpAcMwtGXuuUf54Hfs0FpJi/HxNDN9QDQrk7Mo\nqqj+5Q7vvQf5+co46AwpJZ/uOM2gTkH0itDfbEcX/PrXqu+3TsO2nY1hGNoyN90Efn66nVJfn9SR\nyhoLX19aJuDcOZXEdMst6t+nM3aePE96Xik3GrMF59G3L1x5JSxYoMsZs7MxDENbpn17ZRx++EGX\nNWT6xQTSJzKAhTtOX1wm4IMPVF2o++7TTJs9fLbjNAHeHkzrr89exbph/nw4dgw2btRaidthGIa2\nzvPPq5LUZv0tcAohuGV4Z1LPFrHndKHaaLGoWlBXXKGyXHXGhbJqvknOYvrAaNp5GUGDTmXOHFVc\n8fRprZW4Hcad19apC1WtqVHGQWdliWcOjOH5VYf479aTDO5s/be89JIuXUigymtX1li4cYjhRnI6\nvr5w/Lguc1ycjfFfxECF7nXuDFu2aK2kxfh5ezB7cCzfJGeRV1ypHvJp03SZ6WyxSD7ceooBHYNI\niAnUWk7bwGRSawxnmllipY1gGAYD6NVLZQm/8YbWSmzi1hGdqa6VrFi5A/74R8hpZoE9N+P7o3mc\nyC/lzpFdtJbStpg/X7kedVg7zFkYhsFAZQj/6lewaBFkuq59oKPoHubPVT1DqV3wDvK556DUNV2u\nHM1/fjxJeIA3kxOMRWeXcu21kJEBS5ZorcRtMAyDgeK3v1ULt//+t9ZKbOL2gRFM37ac/JGjoVs3\nreW0mGO5JWw6ksetwzvj5WE8li5l6lR1z/zrX1orcRuMO9BA0bWrKiz29tu6HHGP2bWOsLJC3hoy\nQ2spNvHhlpN4eZi4aZix6OxyzGY1MNqyBXbt0lqNW2CXYRBCBAsh1gkhjlr//qIamxCitxBiX71X\nkRDid9bvnhFCZNb7boo9egzs5OmnVWJYu3ZaK2kZFguml18iv2c873l2ZX9GodaKWsSF8mq+2nOG\n65nULvIAAA9/SURBVBKjCTHKa2vDnXeqmlrvv6+1ErfA3hnDk8AGKWVPYIP180VIKQ9LKQdIKQcA\ng4EyoL4z7+W676WUKy893sCF9O8P48frLmSVoiJITMT/z3+gva8nb31/XGtFLeLznacpq6o1Fp21\npH17VW3YcCcB9huG6UBdsZEPgabm8WOB41LKU3Ze18BZFBfDo4/C6tVN7+suBAXBZ5/hc+vN3Dqi\nM6tTs0nP00d/54rqWt794QQjuoUQH22EqGrK4MGqGq9RIsNuwxAhpcyyvs8GIprY/0Zg4SXbHhRC\nHBBCvN+QK6oOIcR8IcQuIcSuvLw8OyQbNIqPj4pO+tvf9PGAHD0Kqak/fbzjiq54mk0s2JSuoajm\n8+XuM+QWV/LgmB5aSzEANSDq2xcKCrRWoilNGgYhxHohREoDr+n195OqWM1lf0mEEF7AdcAX9Ta/\nCXQDBgBZwIuXO15KuUBKmSSlTAoLC2tKtoGteHrC44/Djz+qqbW789RTqhhaeTkAYQHeXJ8Uy+I9\nmeQWNaP1p4ZU11p4c+NxBnUKYkT3EK3lGAB07Kj6Qb/yitZKNKVJwyClHCelTGjgtQzIEUJEAVj/\nNlbcfDKwR0r5U/aRlDJHSlkrpbQA7wBD7fvnGDiEu++G6Gh45hn3njWkpMAXX6hieb6+P22ef1V3\naiwW3vvxhIbimmbp3kwyC8t5YEwPhN7WdVor8fEwaxa8+ipcuKC1Gs2w15X0NXC79f3twLJG9p3H\nJW6kOqNiZSaQYqceA0fg4wNPPqmqrrpz5cm//EVFkjz66EWbO4W0Y2r/aD7eeoqCEvds61lrkby5\n8ThxUe0Z3dto3elWPPWUMgo6zelxBPYahueA8UKIo8A462eEENFCiJ8ijIQQfsB4YPElx78ghEgW\nQhwARgMP26nHwFH8+teqkU9MjNZKGmbvXli8GB5+GIKDf/H1Q2N7Ul5dy+vfuWeE0srkLNLzS3nQ\nmC24HwMHqqS3l1/WZU6PI7CruqqUsgAVaXTp9rPAlHqfS4FfOFGllLfac30DJ+Ljo8pXuyvJycpo\nPdzwWKJHuD9zBsfy8bZT3HVVV2KCfBvcTwuqay28vO4IPcP9mRgfqbUcg4b4+98hO1t/OT0Owsh8\nNmic1FSV+OZuaw233Qbp6RB4+RDPh8b1AuCV9UdcpapZfLbjNOn5pTwxqQ8mkzFbcEsSE2HiRP3l\n9DgIwzAYNM7mzfDXv8KXX2qtRCGlWvuQUsWcN0JMkC+3jujMl7vPcCzXPfIaiiuq+df6owzvFszY\nvsbagtvz5z/D73+vtQqXYxgGg8a5+26VEf3YYz+FhGrKsmUwalSzK2H+5pru+HqaeXHtYScLax5v\nfX+cgtIq/jQlzlhb0AOFhSpC6eBBrZVAXp56uQDDMBg0jtmsygScOqU6o2lJeTn87neQkADXXdes\nQ0L8vZk/qjurUrL58Vi+kwU2ztnCct794QQzBkTTL9bIctYFTz+tugE+/rjWSuChh5SLywUDNMMw\nGDTN6NGq8ur//R+cPaudjuefVwbq3/8Gj+bHTdxzdTc6h7TjqaUpVFTXOlFg47yw+hASeHRib800\nGLSQsDDV/GnFCli/Xjsd69bBwoWqqZCv8wMpDMNg0Dz++U+4917teimnp8Nzz8G8eXD11S061MfT\nzN9mJHAiv1SzAnvfHcpl6b6z3DuqG7Ed2maki2556CHVr+Ghh1TPEi345BPo0UPlF7kAu8JVDdoQ\n3bop46AVp06pcgX/+IdNh1/VM4zrEqN547vjXJcYTbcwfwcLvDxFFdX8cUkyvSL8ud+oiaQ/fHzU\naN3PT/WI1oL334esLKXFBRgzBoOWsXs3XHWVyxbBfmL0aFXDxo6Eu6em9cXb08RTS1OQLgy//b+V\nh8gpquCFOYl4e5hddl0DBzJ0qCqXAWpB2lWcOKHyKUwmlyabGobBoGV4esL27cqt5Iof18OH1dpC\nba3do7XwAB+enNyHLccLeOcH11Rf3XIsn4U7TvPrq7oxoGOQS65p4EQefxyGDXNNhF55uVrbu/JK\nqK52/vXqYRgGg5bRv7/Ka1i8WPk9nUlVFdx0E7zwgsNmKDcN7cTkhEieX32YXSfPOeSclyOvuJJH\nvthP11A/Hh7fy6nXMnAREybAkSO/qM/lFB5+GPbvV+Gynp7Ov149DMNg0HIefRRGjoTf/EaVpnAW\nf/oT7NkD770HkY4pHSGE4Pk5/Ynt4MsDn+51WpG9qhoL9328m/NlVbw2byA+noYLqVUwbhw88gi8\n8QYsWOC86yxcqPqvP/EETHF9x2PDMBi0HLMZPvtMVTZ9+WXnXOO9936OhJrRVGPAltHex5PXbxrE\nubIqHl60n5pax0aaSCn5y9cp7Dp1nn/MSSQhxshZaFU8/zxMmgT33w+bNjn+/MeOqbDUkSPV7FwD\nDMNgYBuxsapcxttvO/7cOTnw4IOqVo2TGqYkxATyP9fFs+lIHo99eYBai+PWS/677RQLd2Rw/+ju\nXJsY7bDzGrgJZrMa0Q8c6JzqqzExMHu2uoaLXUh1GOGqBrbTtav6m5OjRvfPPuuY5JuICJXQk5jY\nZD0ke5g3tBMFJZX8c+0RzCbBC7P7213U7oMfT/DM8jTG9gnnkfFGIlurJShIBWHUlTUpLFTb7OHU\nKVUUMigIPvjAbon2YMwYDOxn/Xp48UW45hoVWmcrS5cqFxKoabS/83MNHhjTk9+N68mXu8/wh8XJ\nNs8cpJS8vO4IzyxPY3xcBK/fPMionNraqTMKH30EvXrBzp22nys9XT0/c+c6RJq92GUYhBBzhRCp\nQgiLECKpkf0mCSEOCyGOCSGerLc9WAixTghx1Pq3gz16DDTi5ptVlFJKior33r+/ZcfX1KiMzpkz\nVSKPi7NLHxrbkwfH9ODzXRlc//ZWTheUtej40soa/rgkhVc2HGXu4FjevHmQsdjclhg+XCW/jR6t\nijy2lE8/VW6p8+dV2Rk3wN4ZQwowC7jsCowQwgy8jur5HAfME0LEWb9+EtggpewJbLB+NtAjM2ao\ncti1tepB+eab5h23cyeMH68W9ObPhw0bXJ5dKoTgkQm9eeXGARzJKWbyK5tYtDMDSxOzBykl3xzI\nYtxL37Nwx2nuvbo7L8zpj4fZmIi3KXr1gi1boGdP9Rxcdx0cb0bplYoKuPVWNbBKSFBdCZMuO752\nKXbdwVLKg1LKpuoZDwWOSfn/7d1tjFTVHcfx749FkkKDgqhZFhASsYaUIIRUxNSaqhGjuDZpqiSa\ntdGYGKlobIy2L1pfaUhjbIwxNFZL4lMImLg+RKgWNVZrWFdTBSQiWllc5UFdkSBI9+eLc5EZXXmc\ne+8y9/95M/eemZ3zP9nJ/Oece8653mB7N/AY0J491w4szo4XA42dfhKKNWNG+qKfNy8tAgJYsyYl\njO3b03l//76Vo5s2pSTS3Z16CosWFbbkfyDtp7fx7I1nM3Xcsdyy7L/8fOFK7lqxjg+27vg2Sdjm\nvS1f8uC/3+eyRf/h+ke6GTV8GMuum82tF54WW2lXVWtruuawcCGsXJnWOkDaxuLTmvUyX32Vho0g\nXVh+5RW4/XZ48cV91+wGATViawBJLwC/t901wHO/BubYviY7vxI4w/Z8SZ/bPi4rF/DZ3vP9mTlz\npru6vldVGGzslCBWrUrjsW1taaHa9Onw6qvpNU8+mTbFGzmy3Fhr9Pebp9/qZUnXRl5ev/XbBd7D\nh7VwTMsQ+namVaiTxozgqtkTuWLWybTE9YSw17ZtcHx2J+MFC+Cee9IurX19sGsXnHgi9PSkxNDX\nt9+7EDaapNdtH7BbcsBZSZKeAwZaXfRH24cxoDYw25b0g1lK0rXAtQATJkxoVLUhTxJ0dqb9lbq7\n06+o1laYOnXfa+bOLS++HzBkiJg7bSxzp42lt28nK1Z/wrYdu9mxaw87v/4/U1pH8otTT2D86Ngl\nNQzg+Jrb23d0wOjRqXc8alSacXRKzUaKBSaFQ1FEj+FM4M+2L8jObwOwfYekdcA5tnsltQIv2D7g\nHL/oMYQQwqE72B5DEVfJVgGTJU2SNAy4HOjMnusEOrLjDqBhPZAQQgiH50inq/5KUg9wJvC0pOVZ\n+VhJzwDY3gPMB5YDa4Eltldnb3EncL6kd4HzsvMQQgglashQUtFiKCmEEA7dYBpKCiGEcBSJxBBC\nCKFOJIYQQgh1IjGEEEKoE4khhBBCnaNyVpKkLcD/DvPPxwBbGxjO0SDaXA3R5mo4kjafbPuEA73o\nqEwMR0JS18FM12om0eZqiDZXQxFtjqGkEEIIdSIxhBBCqFPFxPC3sgMoQbS5GqLN1ZB7myt3jSGE\nEML+VbHHEEIIYT8qlRgkzZG0TtJ6SU1/f2lJ4yWtlLRG0mpJC8qOqQiSWiS9IempsmMpgqTjJC2V\n9I6ktdk9UJqapJuyz/Tbkh6VVN49YXMi6QFJmyW9XVM2WtI/Jb2bPY7Ko+7KJAZJLcC9wIXAFGCe\npCnlRpW7PcDNtqcAs4DrK9BmgAWkLd6r4q/As7ZPA6bR5G2X1AbcAMy0/VOghXSfl2bzD2DOd8pu\nBZ63PRl4PjtvuMokBuBnwHrbG2zvBh4D2kuOKVe2e213Z8fbSV8YbeVGlS9J44CLgPvLjqUIko4F\nzgb+DmB7t+3Py42qEEOBH0kaCgwHPio5noaz/RLw6XeK24HF2fFi4NI86q5SYmgDNtac99DkX5K1\nJE0EpgOvlRtJ7u4GbgH6yw6kIJOALcCD2fDZ/ZJGlB1UnmxvAv4CfAj0An22V5QbVWFOst2bHX8M\nnJRHJVVKDJUl6cfAMuBG21+UHU9eJF0MbLb9etmxFGgoMAO4z/Z0YAc5DS8MFtm4ejspKY4FRki6\notyoiuc0pTSXaaVVSgybgPE15+OysqYm6RhSUnjY9uNlx5Ozs4BLJH1AGir8paSHyg0pdz1Aj+29\nPcGlpETRzM4D3re9xfbXwOPA7JJjKsonkloBssfNeVRSpcSwCpgsaZKkYaSLVZ0lx5QrSSKNPa+1\nfVfZ8eTN9m22x9meSPr//st2U/+StP0xsFHST7Kic4E1JYZUhA+BWZKGZ5/xc2nyC+41OoGO7LgD\neCKPSobm8aaDke09kuYDy0mzGB6wvbrksPJ2FnAl8JakN7OyP9h+psSYQuP9Dng4+8GzAfhtyfHk\nyvZrkpYC3aSZd2/QhCugJT0KnAOMkdQD/Am4E1gi6WrSDtO/yaXuWPkcQgihVpWGkkIIIRyESAwh\nhBDqRGIIIYRQJxJDCCGEOpEYQggh1InEEEIIoU4khhBCCHUiMYQQQqjzDXYi9zEvhwg4AAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111e19860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于linestyle参数：[https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html](https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MK/5KqQBwG3AJsB64Sim1ftph1wMvaK03AhcA/0cp5cz8VHCOVaus7/v2Tb50aGCMZEo7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\nBMGH/H9hiOqYtcmoHwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111db4cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlim(-5, 15)\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/1OmQijSyfyyt61bi4a9WsTvjaNH/QAGaALwiN7+Q+79YQX7lqgStWYPcd5/TIRVLTK1I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\n/wPbJTpLbNq/zgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ff80f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.axis([-1, 11, -2, 2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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prlbVhXXKkdxSjuWXcYMj7n1QlbfvvNMx53Yw1/cOx9fT7YeAhbaIYVAcwLKU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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1121cb240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2apiqKlVdWKcczC3lcH4ZNzjj3gdVefv2251zbidzfY8I/L09zgcstEQMg+IE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\nY3zx/1IdS7UXR+RmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1122f2b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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I+OR4QoP8+XT7KaOleB3LoHiRedszGdgxnO4xoc4dsGcPPPAAlJd7VpgHGNAx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230b208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1122fc518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qmewMygKj+DoocmPYwPva/JWGr/JnGoAOlU12hr0iXwdFbowa+Eqi3TjG1FG+yp9pADrU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\niKfQABBCiKfQABBCiKf8f7ZeU5p0STJ2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b1bIrDhcNt7ZC8kGCknC89OWOjXEM0pBla2m15mhe8XHopQHGacQgVkyWLW1n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\nxfj/AZbauSsXet+IAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230b780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000)\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "\n",
    "plt.scatter(x, y, alpha=0.1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
